Closed-form second moments for generic bosonic observables and anti-concentration of Fock-state probabilities established in boson sampling for the saturated regime where mode number grows linearly with photon number.
Formally, let𝐿𝑘 and𝑅 𝑘 denote the following restricted maps,∀𝑘⩾0
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Boson sampling beyond the dilute regime: second moments and anti-concentration
Closed-form second moments for generic bosonic observables and anti-concentration of Fock-state probabilities established in boson sampling for the saturated regime where mode number grows linearly with photon number.